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Finding the Fourth Proportional to 957.93, 1,437.21 and 697.47

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Solution

The fourth proportional to 957.93, 1,437.21 and 697.47 is: 1,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.93 : 1,437.21 = 697.47 : x
  2. Step 2: Convert to fraction form
    957.93/1,437.21 = 697.47/x
  3. Step 3: Cross multiply
    957.93x = 1,437.21 × 697.47
  4. Step 4: Simplify right side
    957.93x = 1,002,410.86
  5. Step 5: Solve for x
    x = 1,002,410.86/957.93
  6. Step 6: Final answer
    x = 1,046.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.